cos v f(x, у, 2) 3D xz2 af af 2 cos y Cosv siny df = - = - = - dx x2z2' dy dz xz3 XZ af cos v %3D af sin y af 2 cos v %3D ax dy dz XZ XZ' af dz 2 cos y cos V af sin v = - dx z2 dy XZ af af 2 cos y cos y x2z2 ' dy siny df %3D dx xz2 ' dz xz3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Find all the first order partial derivatives for the following function.
cos V
f(x, у, z) -
xz2
Cosv
af
siny df
2 cos v
= -
= -
= -
dx
x²z²
dy
dz
xz3
cos V
af
sin y
af
2 cos v
%D
%3D
dx
dy
xz2
dz
XZ
cos v
af
sin y
af
2 cos v
= -
= -
= -
dx
dy
xz2
dz
XZ
coS y
dx
x2z2 ' dy
2 cos y
xz3
af
siny df
az
xz2
Transcribed Image Text:Find all the first order partial derivatives for the following function. cos V f(x, у, z) - xz2 Cosv af siny df 2 cos v = - = - = - dx x²z² dy dz xz3 cos V af sin y af 2 cos v %D %3D dx dy xz2 dz XZ cos v af sin y af 2 cos v = - = - = - dx dy xz2 dz XZ coS y dx x2z2 ' dy 2 cos y xz3 af siny df az xz2
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